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Finding the Third Proportional to 76,729 and 166,580

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Solution

The third proportional to 76,729 and 166,580 is: 361,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,729 : 166,580 = 166,580 : x
  2. Step 2: Convert to fraction form
    76,729/166,580 = 166,580/x
  3. Step 3: Cross multiply
    76,729x = 166,580 × 166,580
  4. Step 4: Simplify right side
    76,729x = 27,748,896,400
  5. Step 5: Solve for x
    x = 27,748,896,400/76,729
  6. Step 6: Final answer
    x = 361,648.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.